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Finding the Fourth Proportional to 1,460.81, 2,191.13 and 473.60

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Solution

The fourth proportional to 1,460.81, 2,191.13 and 473.60 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.81 : 2,191.13 = 473.60 : x
  2. Step 2: Convert to fraction form
    1,460.81/2,191.13 = 473.60/x
  3. Step 3: Cross multiply
    1,460.81x = 2,191.13 × 473.60
  4. Step 4: Simplify right side
    1,460.81x = 1,037,719.17
  5. Step 5: Solve for x
    x = 1,037,719.17/1,460.81
  6. Step 6: Final answer
    x = 710.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.